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Finding the Fourth Proportional to 300,047.06, 414,064.93 and 164,081.11

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Solution

The fourth proportional to 300,047.06, 414,064.93 and 164,081.11 is: 226,431.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,047.06 : 414,064.93 = 164,081.11 : x
  2. Step 2: Convert to fraction form
    300,047.06/414,064.93 = 164,081.11/x
  3. Step 3: Cross multiply
    300,047.06x = 414,064.93 × 164,081.11
  4. Step 4: Simplify right side
    300,047.06x = 67,940,233,326.47
  5. Step 5: Solve for x
    x = 67,940,233,326.47/300,047.06
  6. Step 6: Final answer
    x = 226,431.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.